BECE Algebraic Expressions and Equations 2 — Questions and Answers
Question 1: Simplify the expression 3(2x + 4) − 2(x − 1).
- 4x + 14 (Correct answer)
- 4x + 10
- 8x + 14
- 6x + 10
Correct answer: 4x + 14
Distribute: 6x + 12 − 2x + 2 = 4x + 14.
Question 2: If 5y − 3 = 2y + 9, what is the value of y?
Correct answer: 4
5y − 2y = 9 + 3, so 3y = 12, giving y = 4.
Question 3: Which of the following is a binomial?
- 3x + 7 (Correct answer)
- 5x
- 2x² + x + 1
- 4
Correct answer: 3x + 7
A binomial has exactly two terms; 3x + 7 has two terms.
Question 4: Evaluate 2a² − 3b when a = 3 and b = 2.
Correct answer: 12
2(3²) − 3(2) = 2(9) − 6 = 18 − 6 = 12.
Question 5: The product of 4x and (x − 3) is:
- 4x² − 12x (Correct answer)
- 4x² + 12x
- 4x − 12
- 4x² − 3
Correct answer: 4x² − 12x
4x × x = 4x² and 4x × (−3) = −12x, giving 4x² − 12x.
Question 6: Solve for n: n/3 + 5 = 11.
Correct answer: 18
n/3 = 11 − 5 = 6, so n = 18.
Question 7: What is the coefficient of x in the expression 7 − 4x + x²?
Correct answer: −4
The term involving x (not x²) is −4x, so its coefficient is −4.
